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442431 = 321141109
BaseRepresentation
bin1101100000000111111
3211110220100
41230000333
5103124211
613252143
73521613
oct1540077
9743810
10442431
11282450
12194053
131264c2
14b7343
158b156
hex6c03f

442431 has 24 divisors (see below), whose sum is σ = 720720. Its totient is φ = 259200.

The previous prime is 442399. The next prime is 442439. The reversal of 442431 is 134244.

It is not a de Polignac number, because 442431 - 25 = 442399 is a prime.

It is a super-2 number, since 2×4424312 = 391490379522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4005 + ... + 4113.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2442431 is an apocalyptic number.

442431 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

442431 is a deficient number, since it is larger than the sum of its proper divisors (278289).

442431 is a wasteful number, since it uses less digits than its factorization.

442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 442431 is about 665.1548691846. The cubic root of 442431 is about 76.1988674476.

Adding to 442431 its reverse (134244), we get a palindrome (576675).

It can be divided in two parts, 44243 and 1, that added together give a palindrome (44244).

The spelling of 442431 in words is "four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 41 99 109 123 327 369 451 981 1199 1353 3597 4059 4469 10791 13407 40221 49159 147477 442431